Abstract

AbstractIn this paper, we estimate an upper bound of the number of the cusps of a cuspidal plane curve. We prove that a cuspidal plane curve of genus g has no more than (21g +17)/2 cusps. For example, a rational cuspidal plane curve has no more than 8 cusps and an elliptic one has no more than 19 cusps. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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